We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function:
where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form
, where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function
with standard decay function
, we can see that
.
Let us solve for r.
![1-1-r=0.76-1](https://tex.z-dn.net/?f=1-1-r%3D0.76-1)
![-r=-0.24](https://tex.z-dn.net/?f=-r%3D-0.24)
![r=0.24](https://tex.z-dn.net/?f=r%3D0.24)
Let us convert 0.24 into percentage.
![0.24\times 100\%=24\%](https://tex.z-dn.net/?f=0.24%5Ctimes%20100%5C%25%3D24%5C%25)
Therefore, the decay rate is 24%.
Answer:
1
Step-by-step explanation:
Answer:
See attachment
Step-by-step explanation:
First solve this like a normal equation:
-3x - 6 > 9
Add 6 to both sides:
-3x > 9 + 6
-3x > 15
Divide by -3 and remember to switch the inequality sign:
x < 15/(-3)
x < -5
Think about the graph of x = -5. It's a vertical line crossing the y-axis at x = -5. Now, we have x is less than -5. That means all the values less than -5 should be viable solutions. So, shade the part of the graph to the left of the vertical line.
Also, since we have x < -5 and not x ≤ -5, the line should be dotted.
See graph attached.
<em>~ an aesthetics lover</em>
Answer:
![\frac{10}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B9%7D)
Step-by-step explanation:
a reciprocal is a number that when multiplied by a given number gives 1 as product.
16 * x = 1
x = 1/16
9/10 * x = 1
x = 10/9